Non-planar degenerations and related fundamental groups

2021/04/06 by Meirav Amram, Amram, Meirav
Engineering · Mathematics · #14D06 #14H30 #14J10 #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Algebraic Geometry (math.AG) #FOS: Mathematics #History and Theory of Mathematics #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.2104.02781

openalex publication_date 2021/04/06 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

We present a preliminary investigation of algebraic surfaces that have non-planar degenerations, along with their Galois covers and fundamental groups. Specifically, we investigate the tetrahedron and the double tetrahedron. The resulting fundamental groups indicate that the tetrahedron and the double tetrahedron are in different components of the moduli space of algebraic surfaces.

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